If the masses and mutual distance between the two objects are doubled, what is the change in the gravitational force between them?

Explanation

`F_(1) = (GM_(1)M_(2))/(r^2)`
Now the masses and distance between two objects is doubled.
`F_(2) = (G.2M_(1).2M_(2))/((2r)^(2)) = (cancel(4)GM_(1)M_(2))/(cancel(4).r^(2))`
`F_(2) = F_(1)`
`:.` No change in gravitaional force when masses and distance are doubled.